A bomb of mass `m` at rest at the coordinate origin explodes into three equal pieces. At a certain instant one piece is on the x-axis at `x=60cm` and another is at `x=40cm, y=60cm`. The position of the third piece is

Options

A. `x=-100 cm,y=-60 cm`
B. `x=-60 cm,y=-60 cm`
C. `x=-60 cm,y=-60 cm`
D. `x=60 cm,y=-60cm`

Answer

A

Explanation

`(x_(cm),y_(cm))=(0,0), 0=(m_(1)x_(1)+m_(2)x_(2)+m_(3)x_(3))/(m_(1)+m_(2)+m_(3))`
`0=(m_(1)y_(1)+m_(2)y_(2)+m_(3)y_(3))/(m_(1)+m_(2)+m_(3))`